Courses at UT Dallas

Equilibria, phase portraits, linearization of nonlinear systems; periodic solutions; Poincare-Bendixson theorem; fundamental existence and uniqueness theorem for ODEs; Lyapunov stability theory; Invariance principle and LaSalle's theorem; converse theorems; singular perturbations; center manifold theorem; differential geometric tools, feedback linearization, input-output linearization, output injection, output tracking, passivity-based control; backstepping.

Theory, methodology, and software tools for the analysis and design of model-based control systems with multiple actuators and multiple sensors. Control oriented model parameterizations and modeling errors. Definitions and criteria for robust stability and performance. Optimal synthesis of linear controllers. The loop shaping design method. Methods to simplify the control law. Mechatronic design examples.

Dynamic analysis and simulation of common engineering systems with thermal, fluid, mechanical and electromechanical applications. Laplace transform techniques, time domain, and frequency response methods are used along with simulation techniques to analyze and predict system response to various input stimuli. Matlab and Simulink are used extensively throughout the course.

The purpose of this course is to give students a general understanding of basic concepts in electronics geared specifically toward application. Course topics include: circuit components and theory (resistors, capacitors, inductors, component networks), power concepts (AC, DC, single and 3-phase), basic microelectronics (semiconductors, diodes, transistors, op-amps, amplifiers), and digital design (number systems, logic circuits, common ICs). This course includes a laboratory component and a team-based final project.